Bernoulli-like polynomials associated with Stirling Numbers

TL;DR

This paper introduces a new class of polynomials related to Bernoulli polynomials, which are used to represent Stirling numbers of the first kind, along with their recursion relations.

Contribution

The paper defines Bernoulli-like polynomials associated with Stirling numbers and provides their recursion relations, offering a novel mathematical framework.

Findings

New polynomial class related to Bernoulli polynomials

Representation of Stirling numbers of the first kind

Recursion relations for the introduced polynomials

Abstract

The Stirling numbers of the first kind can be represented in terms of a new class of polynomials that are closely related to the Bernoulli polynomials. Recursion relations for these polynomials are given.